Pith Number

pith:GMVUUE2D

pith:2012:GMVUUE2DXONH6XUSNTOXEUCZQB

not attested not anchored not stored refs pending

Hypercyclic and mixing operator semigroups

Stanislav Shkarin

arxiv:1209.0974 v1 · 2012-09-05 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMVUUE2DXONH6XUSNTOXEUCZQB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:46:15.771488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332b4a1343bb9a7f5e926cdd7250598070194b6492c5deeef14e849e1ab33a9c

Aliases

arxiv: 1209.0974 · arxiv_version: 1209.0974v1 · doi: 10.48550/arxiv.1209.0974 · pith_short_12: GMVUUE2DXONH · pith_short_16: GMVUUE2DXONH6XUS · pith_short_8: GMVUUE2D

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GMVUUE2DXONH6XUSNTOXEUCZQB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 332b4a1343bb9a7f5e926cdd7250598070194b6492c5deeef14e849e1ab33a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e750cb0be1ed2ed6df13e11cf62ddb084b887980e0641662859ab620c79e686",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-05T13:45:30Z",
    "title_canon_sha256": "5b2e009505aa11795ea8a6b72384e41d662e35a7db768ce0486a5b3122ad0076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0974",
    "kind": "arxiv",
    "version": 1
  }
}